QB/a15Thermodynamics heatEngine
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\begin{document}
\title{a15Thermodynamics\_heatEngine}
\author{The LaTex code that creates this quiz is released to the Public Domain\\
Attribution for each question is documented in the Appendix}
\maketitle
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\footnotesize{ \url{https://en.wikiversity.org/wiki/special:permalink/1863334}}
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\tableofcontents
\end{multicols}
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\pagebreak\section{Quiz}
\keytrue
\printanswers
\begin{questions}
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 2.8 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 1.4 kPa, P\textsubscript{2}= 2.8 kPa. The volumes are V\textsubscript{1}= 2.8m\textsuperscript{3} and V\textsubscript{4}= 5.1m\textsuperscript{3}. How much work is done in in one cycle?\ifkey\endnote{a15Thermodynamics\_heatEngine\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863334}}}\fi
\begin{choices}
\choice 5.09 x 10\textsuperscript{2} J
\CorrectChoice 1.61 x 10\textsuperscript{3} J
\choice 5.09 x 10\textsuperscript{3} J
\choice 1.61 x 10\textsuperscript{4} J
\choice 5.09 x 10\textsuperscript{4} J
\end{choices}
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 2.6 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 3 kPa, P\textsubscript{2}= 5.9 kPa. The volumes are V\textsubscript{1}= 2.5m\textsuperscript{3} and V\textsubscript{4}= 3.6m\textsuperscript{3}. How much work is involved between 1 and 4?\ifkey\endnote{a15Thermodynamics\_heatEngine\_2 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863334}}}\fi
\begin{choices}
\choice 3.3 x 10\textsuperscript{2} J
\choice 1.04 x 10\textsuperscript{3} J
\CorrectChoice 3.3 x 10\textsuperscript{3} J
\choice 1.04 x 10\textsuperscript{4} J
\choice 3.3 x 10\textsuperscript{4} J
\end{choices}
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 2.1 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 1.2 kPa, P\textsubscript{2}= 4.1 kPa. The volumes are V\textsubscript{1}= 3.1m\textsuperscript{3} and V\textsubscript{4}= 4.3m\textsuperscript{3}. How much work is involved between 2 and 4?\ifkey\endnote{a15Thermodynamics\_heatEngine\_3 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863334}}}\fi
\begin{choices}
\choice 1.01 x 10\textsuperscript{3} J
\CorrectChoice 3.18 x 10\textsuperscript{3} J
\choice 1.01 x 10\textsuperscript{4} J
\choice 3.18 x 10\textsuperscript{4} J
\choice 1.01 x 10\textsuperscript{5} J
\end{choices}
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 1.4 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 2.2 kPa, P\textsubscript{2}= 4 kPa. The volumes are V\textsubscript{1}= 1.4m\textsuperscript{3} and V\textsubscript{4}= 3.3m\textsuperscript{3}. What is the temperature at step 4?\ifkey\endnote{a15Thermodynamics\_heatEngine\_4 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863334}}}\fi
\begin{choices}
\choice 1.97 x 10\textsuperscript{2} K
\CorrectChoice 6.24 x 10\textsuperscript{2} K
\choice 1.97 x 10\textsuperscript{3} K
\choice 6.24 x 10\textsuperscript{3} K
\choice 1.97 x 10\textsuperscript{4} K
\end{choices}
\end{questions}
\newpage\section{Renditions}
\subsection{}%%%% subsection 1
\begin{questions} %%%%%%% begin questions
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 2.1 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 2.2 kPa, P\textsubscript{2}= 4.4 kPa. The volumes are V\textsubscript{1}= 2.6m\textsuperscript{3} and V\textsubscript{4}= 4m\textsuperscript{3}. How much work is done in in one cycle?
\begin{choices} %%%%%%% begin choices
\choice 4.87 x 10\textsuperscript{1} J
\choice 1.54 x 10\textsuperscript{2} J
\choice 4.87 x 10\textsuperscript{2} J
\CorrectChoice 1.54 x 10\textsuperscript{3} J
\choice 4.87 x 10\textsuperscript{3} J
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 2.1 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 2.8 kPa, P\textsubscript{2}= 5.6 kPa. The volumes are V\textsubscript{1}= 2.1m\textsuperscript{3} and V\textsubscript{4}= 4.8m\textsuperscript{3}. How much work is done in in one cycle?
\begin{choices} %%%%%%% begin choices
\choice 3.78 x 10\textsuperscript{2} J
\choice 1.2 x 10\textsuperscript{3} J
\CorrectChoice 3.78 x 10\textsuperscript{3} J
\choice 1.2 x 10\textsuperscript{4} J
\choice 3.78 x 10\textsuperscript{4} J
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 3.1 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 2.5 kPa, P\textsubscript{2}= 4.5 kPa. The volumes are V\textsubscript{1}= 1.4m\textsuperscript{3} and V\textsubscript{4}= 2.9m\textsuperscript{3}. How much work is done in in one cycle?
\begin{choices} %%%%%%% begin choices
\choice 4.74 x 10\textsuperscript{2} J
\CorrectChoice 1.5 x 10\textsuperscript{3} J
\choice 4.74 x 10\textsuperscript{3} J
\choice 1.5 x 10\textsuperscript{4} J
\choice 4.74 x 10\textsuperscript{4} J
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 1.6 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 1.9 kPa, P\textsubscript{2}= 3.6 kPa. The volumes are V\textsubscript{1}= 1.6m\textsuperscript{3} and V\textsubscript{4}= 3.3m\textsuperscript{3}. How much work is done in in one cycle?
\begin{choices} %%%%%%% begin choices
\choice 4.57 x 10\textsuperscript{1} J
\choice 1.45 x 10\textsuperscript{2} J
\choice 4.57 x 10\textsuperscript{2} J
\CorrectChoice 1.45 x 10\textsuperscript{3} J
\choice 4.57 x 10\textsuperscript{3} J
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 1.1 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 2 kPa, P\textsubscript{2}= 4.1 kPa. The volumes are V\textsubscript{1}= 2.1m\textsuperscript{3} and V\textsubscript{4}= 4.3m\textsuperscript{3}. How much work is done in in one cycle?
\begin{choices} %%%%%%% begin choices
\choice 7.3 x 10\textsuperscript{2} J
\CorrectChoice 2.31 x 10\textsuperscript{3} J
\choice 7.3 x 10\textsuperscript{3} J
\choice 2.31 x 10\textsuperscript{4} J
\choice 7.3 x 10\textsuperscript{4} J
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 2.9 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 2.3 kPa, P\textsubscript{2}= 4.8 kPa. The volumes are V\textsubscript{1}= 2.1m\textsuperscript{3} and V\textsubscript{4}= 3.5m\textsuperscript{3}. How much work is done in in one cycle?
\begin{choices} %%%%%%% begin choices
\choice 1.75 x 10\textsuperscript{1} J
\choice 5.53 x 10\textsuperscript{1} J
\choice 1.75 x 10\textsuperscript{2} J
\choice 5.53 x 10\textsuperscript{2} J
\CorrectChoice 1.75 x 10\textsuperscript{3} J
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 1.9 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 1.2 kPa, P\textsubscript{2}= 2.9 kPa. The volumes are V\textsubscript{1}= 2.6m\textsuperscript{3} and V\textsubscript{4}= 4.7m\textsuperscript{3}. How much work is done in in one cycle?
\begin{choices} %%%%%%% begin choices
\choice 5.64 x 10\textsuperscript{2} J
\CorrectChoice 1.79 x 10\textsuperscript{3} J
\choice 5.64 x 10\textsuperscript{3} J
\choice 1.79 x 10\textsuperscript{4} J
\choice 5.64 x 10\textsuperscript{4} J
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 2 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 2.9 kPa, P\textsubscript{2}= 4 kPa. The volumes are V\textsubscript{1}= 2m\textsuperscript{3} and V\textsubscript{4}= 3.2m\textsuperscript{3}. How much work is done in in one cycle?
\begin{choices} %%%%%%% begin choices
\choice 6.6 x 10\textsuperscript{0} J
\choice 2.09 x 10\textsuperscript{1} J
\choice 6.6 x 10\textsuperscript{1} J
\choice 2.09 x 10\textsuperscript{2} J
\CorrectChoice 6.6 x 10\textsuperscript{2} J
\pagebreak
\end{choices}
\end{questions}%%%%%%%% end questions
\subsection{}%%%% subsection 2
\begin{questions} %%%%%%% begin questions
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 1.2 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 2.7 kPa, P\textsubscript{2}= 3.8 kPa. The volumes are V\textsubscript{1}= 1.8m\textsuperscript{3} and V\textsubscript{4}= 4.7m\textsuperscript{3}. How much work is involved between 1 and 4?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 7.83 x 10\textsuperscript{3} J
\choice 2.48 x 10\textsuperscript{4} J
\choice 7.83 x 10\textsuperscript{4} J
\choice 2.48 x 10\textsuperscript{5} J
\choice 7.83 x 10\textsuperscript{5} J
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 2.4 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 2.1 kPa, P\textsubscript{2}= 3.2 kPa. The volumes are V\textsubscript{1}= 1.1m\textsuperscript{3} and V\textsubscript{4}= 2.2m\textsuperscript{3}. How much work is involved between 1 and 4?
\begin{choices} %%%%%%% begin choices
\choice 2.31 x 10\textsuperscript{2} J
\choice 7.3 x 10\textsuperscript{2} J
\CorrectChoice 2.31 x 10\textsuperscript{3} J
\choice 7.3 x 10\textsuperscript{3} J
\choice 2.31 x 10\textsuperscript{4} J
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 2 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 1.5 kPa, P\textsubscript{2}= 2.7 kPa. The volumes are V\textsubscript{1}= 1.9m\textsuperscript{3} and V\textsubscript{4}= 3.3m\textsuperscript{3}. How much work is involved between 1 and 4?
\begin{choices} %%%%%%% begin choices
\choice 6.64 x 10\textsuperscript{2} J
\CorrectChoice 2.1 x 10\textsuperscript{3} J
\choice 6.64 x 10\textsuperscript{3} J
\choice 2.1 x 10\textsuperscript{4} J
\choice 6.64 x 10\textsuperscript{4} J
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 1.2 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 1.1 kPa, P\textsubscript{2}= 3.5 kPa. The volumes are V\textsubscript{1}= 1.2m\textsuperscript{3} and V\textsubscript{4}= 2.5m\textsuperscript{3}. How much work is involved between 1 and 4?
\begin{choices} %%%%%%% begin choices
\choice 1.43 x 10\textsuperscript{1} J
\choice 4.52 x 10\textsuperscript{1} J
\choice 1.43 x 10\textsuperscript{2} J
\choice 4.52 x 10\textsuperscript{2} J
\CorrectChoice 1.43 x 10\textsuperscript{3} J
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 1.3 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 1.6 kPa, P\textsubscript{2}= 4.3 kPa. The volumes are V\textsubscript{1}= 1.6m\textsuperscript{3} and V\textsubscript{4}= 3.2m\textsuperscript{3}. How much work is involved between 1 and 4?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 2.56 x 10\textsuperscript{3} J
\choice 8.1 x 10\textsuperscript{3} J
\choice 2.56 x 10\textsuperscript{4} J
\choice 8.1 x 10\textsuperscript{4} J
\choice 2.56 x 10\textsuperscript{5} J
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 2.8 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 1.5 kPa, P\textsubscript{2}= 2.7 kPa. The volumes are V\textsubscript{1}= 1.9m\textsuperscript{3} and V\textsubscript{4}= 4.4m\textsuperscript{3}. How much work is involved between 1 and 4?
\begin{choices} %%%%%%% begin choices
\choice 3.75 x 10\textsuperscript{2} J
\choice 1.19 x 10\textsuperscript{3} J
\CorrectChoice 3.75 x 10\textsuperscript{3} J
\choice 1.19 x 10\textsuperscript{4} J
\choice 3.75 x 10\textsuperscript{4} J
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 1.3 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 3.1 kPa, P\textsubscript{2}= 4.3 kPa. The volumes are V\textsubscript{1}= 1.1m\textsuperscript{3} and V\textsubscript{4}= 2.8m\textsuperscript{3}. How much work is involved between 1 and 4?
\begin{choices} %%%%%%% begin choices
\choice 1.67 x 10\textsuperscript{3} J
\CorrectChoice 5.27 x 10\textsuperscript{3} J
\choice 1.67 x 10\textsuperscript{4} J
\choice 5.27 x 10\textsuperscript{4} J
\choice 1.67 x 10\textsuperscript{5} J
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 2.2 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 2.2 kPa, P\textsubscript{2}= 3.7 kPa. The volumes are V\textsubscript{1}= 1.8m\textsuperscript{3} and V\textsubscript{4}= 4.4m\textsuperscript{3}. How much work is involved between 1 and 4?
\begin{choices} %%%%%%% begin choices
\choice 1.81 x 10\textsuperscript{2} J
\choice 5.72 x 10\textsuperscript{2} J
\choice 1.81 x 10\textsuperscript{3} J
\CorrectChoice 5.72 x 10\textsuperscript{3} J
\choice 1.81 x 10\textsuperscript{4} J
\pagebreak
\end{choices}
\end{questions}%%%%%%%% end questions
\subsection{}%%%% subsection 3
\begin{questions} %%%%%%% begin questions
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 1.1 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 1.4 kPa, P\textsubscript{2}= 2.8 kPa. The volumes are V\textsubscript{1}= 2.7m\textsuperscript{3} and V\textsubscript{4}= 4.6m\textsuperscript{3}. How much work is involved between 2 and 4?
\begin{choices} %%%%%%% begin choices
\choice 3.99 x 10\textsuperscript{1} J
\choice 1.26 x 10\textsuperscript{2} J
\choice 3.99 x 10\textsuperscript{2} J
\choice 1.26 x 10\textsuperscript{3} J
\CorrectChoice 3.99 x 10\textsuperscript{3} J
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 3 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 1.3 kPa, P\textsubscript{2}= 3.7 kPa. The volumes are V\textsubscript{1}= 1.1m\textsuperscript{3} and V\textsubscript{4}= 2.2m\textsuperscript{3}. How much work is involved between 2 and 4?
\begin{choices} %%%%%%% begin choices
\choice 8.7 x 10\textsuperscript{2} J
\CorrectChoice 2.75 x 10\textsuperscript{3} J
\choice 8.7 x 10\textsuperscript{3} J
\choice 2.75 x 10\textsuperscript{4} J
\choice 8.7 x 10\textsuperscript{4} J
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 2.9 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 1.7 kPa, P\textsubscript{2}= 3.1 kPa. The volumes are V\textsubscript{1}= 2.8m\textsuperscript{3} and V\textsubscript{4}= 4.3m\textsuperscript{3}. How much work is involved between 2 and 4?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 3.6 x 10\textsuperscript{3} J
\choice 1.14 x 10\textsuperscript{4} J
\choice 3.6 x 10\textsuperscript{4} J
\choice 1.14 x 10\textsuperscript{5} J
\choice 3.6 x 10\textsuperscript{5} J
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 1.9 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 2.3 kPa, P\textsubscript{2}= 5.3 kPa. The volumes are V\textsubscript{1}= 1.8m\textsuperscript{3} and V\textsubscript{4}= 3m\textsuperscript{3}. How much work is involved between 2 and 4?
\begin{choices} %%%%%%% begin choices
\choice 1.44 x 10\textsuperscript{2} J
\choice 4.56 x 10\textsuperscript{2} J
\choice 1.44 x 10\textsuperscript{3} J
\CorrectChoice 4.56 x 10\textsuperscript{3} J
\choice 1.44 x 10\textsuperscript{4} J
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 2.5 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 2 kPa, P\textsubscript{2}= 3.2 kPa. The volumes are V\textsubscript{1}= 1.1m\textsuperscript{3} and V\textsubscript{4}= 3.1m\textsuperscript{3}. How much work is involved between 2 and 4?
\begin{choices} %%%%%%% begin choices
\choice 1.64 x 10\textsuperscript{3} J
\CorrectChoice 5.2 x 10\textsuperscript{3} J
\choice 1.64 x 10\textsuperscript{4} J
\choice 5.2 x 10\textsuperscript{4} J
\choice 1.64 x 10\textsuperscript{5} J
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 2.5 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 1.7 kPa, P\textsubscript{2}= 4.5 kPa. The volumes are V\textsubscript{1}= 1.6m\textsuperscript{3} and V\textsubscript{4}= 2.7m\textsuperscript{3}. How much work is involved between 2 and 4?
\begin{choices} %%%%%%% begin choices
\choice 1.08 x 10\textsuperscript{3} J
\CorrectChoice 3.41 x 10\textsuperscript{3} J
\choice 1.08 x 10\textsuperscript{4} J
\choice 3.41 x 10\textsuperscript{4} J
\choice 1.08 x 10\textsuperscript{5} J
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 2.5 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 3 kPa, P\textsubscript{2}= 5.4 kPa. The volumes are V\textsubscript{1}= 2.6m\textsuperscript{3} and V\textsubscript{4}= 5m\textsuperscript{3}. How much work is involved between 2 and 4?
\begin{choices} %%%%%%% begin choices
\choice 1.01 x 10\textsuperscript{2} J
\choice 3.19 x 10\textsuperscript{2} J
\choice 1.01 x 10\textsuperscript{3} J
\choice 3.19 x 10\textsuperscript{3} J
\CorrectChoice 1.01 x 10\textsuperscript{4} J
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 2.9 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 1.3 kPa, P\textsubscript{2}= 3.4 kPa. The volumes are V\textsubscript{1}= 2.5m\textsuperscript{3} and V\textsubscript{4}= 4.3m\textsuperscript{3}. How much work is involved between 2 and 4?
\begin{choices} %%%%%%% begin choices
\choice 1.34 x 10\textsuperscript{2} J
\choice 4.23 x 10\textsuperscript{2} J
\choice 1.34 x 10\textsuperscript{3} J
\CorrectChoice 4.23 x 10\textsuperscript{3} J
\choice 1.34 x 10\textsuperscript{4} J
\pagebreak
\end{choices}
\end{questions}%%%%%%%% end questions
\subsection{}%%%% subsection 4
\begin{questions} %%%%%%% begin questions
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 2.5 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 2.9 kPa, P\textsubscript{2}= 4.9 kPa. The volumes are V\textsubscript{1}= 2.5m\textsuperscript{3} and V\textsubscript{4}= 4.7m\textsuperscript{3}. What is the temperature at step 4?
\begin{choices} %%%%%%% begin choices
\choice 2.07 x 10\textsuperscript{2} K
\CorrectChoice 6.56 x 10\textsuperscript{2} K
\choice 2.07 x 10\textsuperscript{3} K
\choice 6.56 x 10\textsuperscript{3} K
\choice 2.07 x 10\textsuperscript{4} K
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 1.3 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 1.6 kPa, P\textsubscript{2}= 4.3 kPa. The volumes are V\textsubscript{1}= 2.9m\textsuperscript{3} and V\textsubscript{4}= 5.8m\textsuperscript{3}. What is the temperature at step 4?
\begin{choices} %%%%%%% begin choices
\choice 8.59 x 10\textsuperscript{0} K
\choice 2.71 x 10\textsuperscript{1} K
\choice 8.59 x 10\textsuperscript{1} K
\choice 2.71 x 10\textsuperscript{2} K
\CorrectChoice 8.59 x 10\textsuperscript{2} K
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 2.5 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 2.2 kPa, P\textsubscript{2}= 3.8 kPa. The volumes are V\textsubscript{1}= 2.9m\textsuperscript{3} and V\textsubscript{4}= 5.4m\textsuperscript{3}. What is the temperature at step 4?
\begin{choices} %%%%%%% begin choices
\choice 5.71 x 10\textsuperscript{0} K
\choice 1.81 x 10\textsuperscript{1} K
\choice 5.71 x 10\textsuperscript{1} K
\choice 1.81 x 10\textsuperscript{2} K
\CorrectChoice 5.71 x 10\textsuperscript{2} K
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 1.5 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 2.6 kPa, P\textsubscript{2}= 5.7 kPa. The volumes are V\textsubscript{1}= 2.7m\textsuperscript{3} and V\textsubscript{4}= 5.5m\textsuperscript{3}. What is the temperature at step 4?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 1.15 x 10\textsuperscript{3} K
\choice 3.63 x 10\textsuperscript{3} K
\choice 1.15 x 10\textsuperscript{4} K
\choice 3.63 x 10\textsuperscript{4} K
\choice 1.15 x 10\textsuperscript{5} K
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 1.6 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 1.5 kPa, P\textsubscript{2}= 3 kPa. The volumes are V\textsubscript{1}= 2.4m\textsuperscript{3} and V\textsubscript{4}= 4.5m\textsuperscript{3}. What is the temperature at step 4?
\begin{choices} %%%%%%% begin choices
\choice 1.6 x 10\textsuperscript{1} K
\choice 5.07 x 10\textsuperscript{1} K
\choice 1.6 x 10\textsuperscript{2} K
\CorrectChoice 5.07 x 10\textsuperscript{2} K
\choice 1.6 x 10\textsuperscript{3} K
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 2 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 2.6 kPa, P\textsubscript{2}= 4.9 kPa. The volumes are V\textsubscript{1}= 1.2m\textsuperscript{3} and V\textsubscript{4}= 3.5m\textsuperscript{3}. What is the temperature at step 4?
\begin{choices} %%%%%%% begin choices
\choice 5.47 x 10\textsuperscript{1} K
\choice 1.73 x 10\textsuperscript{2} K
\CorrectChoice 5.47 x 10\textsuperscript{2} K
\choice 1.73 x 10\textsuperscript{3} K
\choice 5.47 x 10\textsuperscript{3} K
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 1.9 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 2.9 kPa, P\textsubscript{2}= 4.7 kPa. The volumes are V\textsubscript{1}= 2.7m\textsuperscript{3} and V\textsubscript{4}= 5.6m\textsuperscript{3}. What is the temperature at step 4?
\begin{choices} %%%%%%% begin choices
\choice 1.03 x 10\textsuperscript{1} K
\choice 3.25 x 10\textsuperscript{1} K
\choice 1.03 x 10\textsuperscript{2} K
\choice 3.25 x 10\textsuperscript{2} K
\CorrectChoice 1.03 x 10\textsuperscript{3} K
\end{choices} %%% end choices
\question
\includegraphics[width=0.15\textwidth]{Thermodynamic_cycles_for_quizzes.png} A 1241 heat cycle uses 1.4 moles of an ideal gas. The pressures and volumes are: P\textsubscript{1}= 1.4 kPa, P\textsubscript{2}= 4.1 kPa. The volumes are V\textsubscript{1}= 2.1m\textsuperscript{3} and V\textsubscript{4}= 4.7m\textsuperscript{3}. What is the temperature at step 4?
\begin{choices} %%%%%%% begin choices
\choice 1.79 x 10\textsuperscript{2} K
\CorrectChoice 5.65 x 10\textsuperscript{2} K
\choice 1.79 x 10\textsuperscript{3} K
\choice 5.65 x 10\textsuperscript{3} K
\choice 1.79 x 10\textsuperscript{4} K
\end{choices} %%% end choices
\end{questions}\pagebreak
\section{Attribution}
\theendnotes
\end{document}